Mixed Natural Neighbor Galerkin Method for 3D Couple-Stress Elasticity
Based on the constrained variational principle, the mixed multi-variable natural neighbor Galerkin method for couple-stress elasticity is proposed for three-dimensional problems. The displacements and micro-rotations are taken to be independent nodal degrees of freedom, and the geometrical constraints between them are enforced through Lagrange multipliers. The C0-continuous non-Sibsonain interpolation is used to obtain the discrete equations. The proposed method is tested by the numerical example and the results show that strong size effects are observed when the length of deformation field and the characteristic length of the material are comparable.
Yi-Min Deng, Aibing Yu, Weihua Li and Di Zheng
K. Wang et al., "Mixed Natural Neighbor Galerkin Method for 3D Couple-Stress Elasticity", Applied Mechanics and Materials, Vols. 37-38, pp. 667-670, 2010